/sci/ - Science & Math

>>9702543
>Does someone know where i can find some BSc theses to read?
Google. ALGANT and other 'special' schools (as well as normal ones) publish all the theses.
>I still have to ask my advisor for a topic and wanted to ask about something homological algebra-related, is it a good idea?
Just ask him. I went with a topic and it was sadly rejected, and I was asked to write about something in a different field. Don't dwell on it too much.
>What's a nice subject in homological algebra that's interesting and suitable for a bachelor's thesis?
Maybe studying/comparing some (co)homological theories, such as Spanier and so forth? Or go for a topic which is in the expertise of your advisor.
Anyway, how much homo algebra do you know? Already seen derived functors? Applications in topology/algebra?

>>9703587
>Let [math]X[/math] be any topological space, and let [math]x\sim y[/math] iff they are on the same path component
Connected by a path.
> Now I claim that [math]X / \sim[/math] and [math]X[/math] are homotopy equivalent, and hence their homologies coincide.
Wrong. Not every path connected space is homotopic to a point. Take a circle for instance.
> Conceptually easier.
Wrong. Use
> The homology of a disjoint union is the direct sum of the homologies
and the usual derivation of 0th-homology for path connected space as in pic(Shastri).